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Finding the Third Proportional to 343,262.50 and 717,894.50

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Solution

The third proportional to 343,262.50 and 717,894.50 is: 1,501,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,262.50 : 717,894.50 = 717,894.50 : x
  2. Step 2: Convert to fraction form
    343,262.50/717,894.50 = 717,894.50/x
  3. Step 3: Cross multiply
    343,262.50x = 717,894.50 × 717,894.50
  4. Step 4: Simplify right side
    343,262.50x = 515,372,513,130.25
  5. Step 5: Solve for x
    x = 515,372,513,130.25/343,262.50
  6. Step 6: Final answer
    x = 1,501,394.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.